Results 21 to 30 of about 2,094 (218)
Asymptotic behavior of solutions to difference equations in Banach spaces
We investigate the asymptotic properties of solutions to higher order nonlinear difference equations in Banach spaces. We introduce a new technique based on a vector version of discrete L'Hospital's rule, remainder operator, and the regional topology on ...
Janusz Migda
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On a nonlinear differential equation in a Banach space
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Besova, Margarita Il'inichna +1 more
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On ΛpBV-Solutions of Some Nonlinear Integral Equations on the Plane
In this paper, we define the space of functions Λp-bounded variation on the plane and endow it with a norm under which it is a Banach space. In addition, we study some nonlinear integral equations and providing conditions for the functions and kernel ...
Jurancy Ereú +2 more
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Asymptotic stability of solutions of nonlinear fractional differential equations of order 1 < α < 2
This paper is mainly concerned with the asymptotic stability of the solutions of a class of nonlinear fractional differential equations of order 1 < α < 2 in a weighted Banach space.
GE Fudong, KOU Chunhai
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Nonlinear Integrodifferential Equations of Mixed Type in Banach Spaces
We prove two existence theorems for the integrodifferential equation of mixed type:x'(t)=f(t,x(t),∫0tk1(t,s)g(s,x(s))ds,∫0ak2(t,s)h(s,x(s))ds),x(0)=x0, where in the first part of this paperf, g, h, xare functions with values in a Banach spaceEand integrals are taken in the sense of Henstock-Kurzweil (HK).
Aneta Sikorska-Nowak +1 more
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In this paper, the authors propose an investigation of the existence of solutions for a system of nonlinear Hadamard-type integro-differential equations in a Banach space.
Chenkuan Li +2 more
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Ideal minimal residual-based proper generalized decomposition for non-symmetric multi-field models – Application to transient elastodynamics in space-time domain [PDF]
It is now well established that separated representations built with the help of proper generalized decomposition (PGD) can drastically reduce computational costs associated with solution of a wide variety of problems.
BOUCINHA, Lucas +3 more
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Boundary Controllability of Nonlinear Fractional Integrodifferential Systems
Sufficient conditions for boundary controllability of nonlinear fractional integrodifferential systems in Banach space are established. The results are obtained by using fixed point theorems.
Hamdy M. Ahmed
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Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions [PDF]
We establish new existence results for multiple positive solutions of fourth-order nonlinear equations which model deflections of an elastic beam. We consider the widely studied boundary conditions corresponding to clamped and hinged ends and many non ...
J. R. L. Webb +5 more
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In this paper, we use a new method and combining the partial ordering method to study the existence of the solutions for the first order nonlinear impulsive integro-differential equations of Volterra type on finite interval in Banach spaces and for the ...
Jiang Zhu, Yajuan Yu, Vasile Postolica
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